Or does this already exist somewhere?
Basically, each entry in the database would have the following fields: votes for Trump, votes for Biden, votes for Other (could break it down), time reported, reporting precinct.
Any recommendations, and do you think this could be put together (at least in theory) from publicly available info? (I know the info is out there somewhere.)
That is odd. I found a pretty good alternative, I think. We'd have to go state by state, but (at least some) states provide the data. Virginia is what I'm looking at now as a starting point. They actually provide it as json files; I just have to put together a script to pull them all.
https://results.elections.virginia.gov/vaelections/2020%20November%20General/Site/Locality/YORK_COUNTY/President_and_Vice_President.html